Problems

  • Recent Problems

    A figure resembling a spiral is shown with 35 matches. Move 4 matches to form 3 squares.
    Problems
    Grades: 6th to 8th
    Geometry
    Draw construct, and describe geometrical figures and describe the relationships between them.
    7.G.A.2

    Assign each letter a value equal to its position in the alphabet (A = 1, B = 2, C = 3, …). Then find the product value of a word by multiplying the values together. For example, CAT has a product value of 60, because C = 3, A = 1, T = 20, and 3 × 1 × 20 = 60. 

     

    How many other words can you find with a product value of 60?

    Problems
    Grades: 3rd to 5th
    Num & Ops Base Ten
    Algebraic Thinking
    Use place value understanding and properties of operations to perform multi-digit arithmetic.
    Multiply and divide within 100.
    3.OA.C.7, 4.NBT.B.5

    There are 29 students in Miss Spelling’s class. As a special holiday gift, she bought each of them chocolate letters with which they can spell their names. Unfortunately, some letters cost more than others — for instance, the letter A, which is in high demand, is rather pricey; whereas the letter Q, which almost no one wants, is relatively inexpensive.

    The price of the chocolate letters for each student in her class is shown in the table below.

    AIDEN – 386

    ARI – 209

    ARIEL – 376

    BLAIRE – 390

    CHARLES – 457

    CLARE – 334

    DEAN – 317

    EARL – 307

    FRIDA – 273

    GABRIEL – 410

    IVY – 97

    KOLE – 249

    LEIA – 317

    LEO – 242

    MAVIS – 246

    NADINE – 453

    NED – 236

    PAUL – 167

    QASIM – 238

    RACHEL – 394

    RAFI – 231

    SAM – 168

    TIRA – 299

    ULA – 148

    VERA – 276

    VIJAY – 179

    WOLKE – 272

    XAVIER – 346

    ZERACH – 355

     

    How much would it cost to buy the letters in your name?

    Problems
    Grades: High School, 6th to 8th, 3rd to 5th
    Num & Ops Base Ten
    Use place value understanding and properties of operations to perform multi-digit arithmetic.
    3.NBT.A.2, 4.NBT.B.4
    IlluminAir is a small international airline that provides service between Toronto, Ontario; Reston, Virginia; and Doha, Qatar. There are 17 different routes from Doha to Reston, including those that go through Toronto. There are 11 different routes from Reston to Toronto, including those that go through Doha. How many routes are there from Doha to Toronto?
    Problems
    Write 2014 with the first four prime numbers, with the aid of the operations addition, multiplication and exponentiation.
    Problems
    Grades: 6th to 8th, 3rd to 5th
    Expression/Equation
    Algebraic Thinking
    Apply and extend previous understandings of arithmetic to algebraic expressions.
    Gain familiarity with factors and multiples.
    Multiply and divide within 100.
    3.OA.C.7, 4.OA.B.4, 6.EE.A.1
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